Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
Step-by-step explanation:
When you divide by a number, you basically are multiplying by the reciprocal
The reciprocal of 2 is 1/2
4/10 ÷ 2 = 4/10 × 1/2 = 2/10
4/10 × 1/2 = 2/10
Using a number line,
Start at 4/10 and move down by 2 until you reach 0
Start at 4/10 and move up by 1/2 from 0 until you reach 4/10
(Count the number of humps)
Both will be the same
Answer:
x**9
Step-by-step explanation:
(x**3/2)**6 = x**18/2 = x**9
Answer and Explanation:
Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:
x = 4√(2)
y = 2(4) = 8
because where 4 = T,
x = T√2 and y = 2T
so again:

Answer:

Step-by-step explanation:
Given expression:

Rewrite 32 as 16 · 2:

Apply radical rule 

As
:

Multiply by the conjugate:



As
:



